Jin Tao

activity

20182025

most citedBoundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces

66 citations · 98 across the 12 of their papers we have counts for

collaborators

13 papers

math.FA2025

Characterization of Vanishing Campanato Spaces via Ball Banach Function Spaces and Its Applications

Xing Fu, Yoshihiro Sawano, Jin Tao +1

In this article, the authors provide some new characterizations of several vanishing Campanato spaces using a type of oscillation defined within the general framework of ball Banac…

math.FA2022

The $L^{p}$ -to- $L^{q}$ Compactness of Commutators with $p > q$

Tuomas Hytönen, Kangwei Li, Jin Tao +1

Let $1 < q < p < \infty$ , $\frac{1}{r} := \frac{1}{q} - \frac{1}{p}$ , and $T$ be a non-degenerate Calderón--Zygmund operator. We show that the commutator $[b, T]$ is compact from $L^{p} (R^{n})$ to…

math.FA2022★ 5 cited

New John--Nirenberg--Campanato-Type Spaces Related to Both Maximal Functions and Their Commutators

Pingxu Hu, Jin Tao, Dachun Yang

Let $p, q \in [1, \infty]$ , $α \in R$ , and $s$ be a non-negative integer. In this article, the authors introduce a new function space $\widetilde{JN}_{(p,q,s)_α}(\mathcal{X})…

math.CA2021

John--Nirenberg- $Q$ Spaces via Congruent Cubes

Jin Tao, Zhenyu Yang, Wen Yuan

To shed some light on the John--Nirenberg space, the authors in this article introduce the John--Nirenberg- $Q$ space via congruent cubes, $J N Q_{p, q}^{α} (R^{n})$ , which when $p…

math.CA2021

Boundedness of Calderón--Zygmund Operators on Special John--Nirenberg--Campanato and Hardy-Type Spaces via Congruent Cubes

Hongchao Jia, Jin Tao, Dachun Yang +2

Let $p \in [1, \infty]$ , $q \in (1, \infty)$ , $s \in Z_{+} := N \cup {0}$ , and $α \in R$ . In this article, the authors introduce a reasonable version $T$ of…

math.FA2021★ 16 cited

A Survey on Function Spaces of John--Nirenberg Type

Jin Tao, Dachun Yang, Wen Yuan

In this article, the authors give a survey on the recent developments of both the John--Nirenberg space $J N_{p}$ and the space BMO as well as their vanishing subspaces such as VMO, X…

math.CA2021★ 1 cited

Boundedness of Fractional Integrals on Special John--Nirenberg--Campanato and Hardy-Type Spaces via Congruent Cubes

Hongchao Jia, Jin Tao, Dachun Yang +2

Let $p \in [1, \infty]$ , $q \in [1, \infty)$ , $s \in Z_{+} := N \cup {0}$ , and $α \in R$ . In this article, the authors first find a reasonable version $\widetilde{I}_β…

math.FA2021

Nontriviality of Riesz--Morrey Spaces

Zongze Zeng, Der-Chen Chang, Tao +1

In this article, the authors completely answer an open question, presented in [Banach J. Math. Anal. 15 (2021), no. 1, 20], via showing that the Riesz--Morrey space is truly a new…

math.FA2021★ 2 cited

Compactness Characterizations of Commutators on Ball Banach Function Spaces

Jin Tao, Dachun Yang, Wen Yuan +1

Let $X$ be a ball Banach function space on $R^{n}$ . Let $Ω$ be a Lipschitz function on the unit sphere of $R^{n}$ ,which is homogeneous of degree zero and has mean v…

math.CA2019★ 6 cited

XMO and Weighted Compact Bilinear Commutators

Jin Tao, Qingying Xue, Dachun Yang +1

To study the compactness of bilinear commutators of certain bilinear Calderón--Zygmund operators which include (inhomogeneous) Coifman--Meyer bilinear Fourier multipliers and bilin…

math.CA2019★ 1 cited

Buerling-Ahlfors Commutators on Weighted Morrey Spaces and Applications to Beltrami Equations

Jin Tao, Dachun Yang, Dongyong Yang

Let $p \in (1, \infty)$ , $κ \in (0, 1)$ and $w \in A_{p} (C) .$ In this article, the authors obtain a boundedness (resp., compactness) characterization of the Buerling-Ahlfors commu…

math.CA2019★ 1 cited

John--Nirenberg--Campanato Spaces